Mathematics · May / June 2026 · Paper 21 · Question 23
0580
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0580/21/M/J/26 © Cambridge University Press & Assessment 2026 23 10 cm cm NOT TO SCALE The two solids are mathematically similar. The volume of the larger solid is cm 64 3 and the volume of the smaller solid is . cm 27 3 The height of the larger solid is 10 cm and the height of the smaller solid is cm. Find the value of . ¤ [3] ĬÕĊ Ġ
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7.5 oe [3]
oe or 10 4
M2 for h = 3 27 oe e.g. 30 3 10 4 3 64 64 × = = × ÷ ÷ 10 oe 4 , h , 10 , 10 , h 3 4 3 27 3 27 27 × , 3 1000 × 10 64 64 e.g.
M1 for [L]SF = 3 4 or 0.75 but not just 3
or M1 for 3 27 64 or 3 64 27 oe or better 4 or 0.75 3 3 10 = 64 h = 27 27 64 × 3 or for or e.g. h3 = 10 h 27 10 64
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